Appendix: Illustrate Remark 2.4

Table of Links

Abstract

1. Introduction

   1.1 Periodic auction and continuous limit order book

   1.2 Comparison and main flaws of limit order book

   1.3 Optimal policies to cure auction’s inefficiencies and related works

2. Auctions market modeling with transaction fees and randomization

   2.1 The market characteristics

   2.2 Clearing Price rule

   2.3 Strategic Trader’s optimization and market quality

   2.4 Data and numerical analysis

   2.5 Strategic trader with full information: efficient but unfair market

   2.6 Imperfect information and inefficiency of auctions

3. Monitoring policies: transaction fees and clearing time randomization

   3.1 Bilevel optimization between the exchange and the strategic trader

   3.2 Randomization without fees

   3.3 Optimal transaction fees indexed on time to improve price impact for the trader

   3.4 Optimal transaction fees indexed on time: improving market quality while benefiting from the fees

4. Conclusions

A. Appendix: Numerical Methods

A.1 Problem of a Strategic Seller

A.2 Appendix: Problem of the Regulator

B Appendix: Illustrate Remark 2.4

References

B Appendix: Illustrate Remark 2.4

To better illustrate the proof, we draw a figure 5 of

For each point on the line, the x coordinate would be

and the y coordinate would be

where p is the price sent by the strategic seller. The shadow area is the trader’s gain.